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Finding the Fourth Proportional to 1,662.96, 2,292.06 and 1,164.70

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Solution

The fourth proportional to 1,662.96, 2,292.06 and 1,164.70 is: 1,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.96 : 2,292.06 = 1,164.70 : x
  2. Step 2: Convert to fraction form
    1,662.96/2,292.06 = 1,164.70/x
  3. Step 3: Cross multiply
    1,662.96x = 2,292.06 × 1,164.70
  4. Step 4: Simplify right side
    1,662.96x = 2,669,562.28
  5. Step 5: Solve for x
    x = 2,669,562.28/1,662.96
  6. Step 6: Final answer
    x = 1,605.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.